SOLUTION: Hello, How would I sketch the graph of a polynomial function that has these indicated number and types of zeros? a. 3 real, 2 imaginary b. 4 real c. 2 imaginary

Question 1036614: Hello, How would I sketch the graph of a polynomial function that has these indicated number and types of zeros?
a. 3 real, 2 imaginary
b. 4 real
c. 2 imaginary
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The imaginary are conjugate. use (x-i) and (x+i). Their product is x^2+1
Three real could be 1,0 and -1, factors are x,(x-1)(x+1) or x(x^2-1)or x^3-x. Multiplying that by x^2+1 to get
x^5+x^3-x^2-x

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